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Finding the Fourth Proportional to 7,866.56, 11,791.20 and 2,668.52

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Solution

The fourth proportional to 7,866.56, 11,791.20 and 2,668.52 is: 3,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.56 : 11,791.20 = 2,668.52 : x
  2. Step 2: Convert to fraction form
    7,866.56/11,791.20 = 2,668.52/x
  3. Step 3: Cross multiply
    7,866.56x = 11,791.20 × 2,668.52
  4. Step 4: Simplify right side
    7,866.56x = 31,465,053.02
  5. Step 5: Solve for x
    x = 31,465,053.02/7,866.56
  6. Step 6: Final answer
    x = 3,999.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.